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A farmer has 308 ft of fence to enclose a rectangular pen. Write an equation for the area of that pen in terms of its length.

 May 31, 2016
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Assuming that all 4 sides are fenced.......we have....

 

Total perimeter  =  2(Width + Length)  .....so.....

 

308  = 2(Width + Length)      divide both sides by 2

 

154  = Width + Length       subtract the Length from both sides

 

154 - Length = Width

 

And...... Area  = Length * Width   ........so we have

 

Area  =  Length * (154 - Length)

 

 

cool cool cool

 May 31, 2016

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